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Finding the Fourth Proportional to 13,407.10, 20,110.65 and 12,838.30

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Solution

The fourth proportional to 13,407.10, 20,110.65 and 12,838.30 is: 19,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.10 : 20,110.65 = 12,838.30 : x
  2. Step 2: Convert to fraction form
    13,407.10/20,110.65 = 12,838.30/x
  3. Step 3: Cross multiply
    13,407.10x = 20,110.65 × 12,838.30
  4. Step 4: Simplify right side
    13,407.10x = 258,186,557.90
  5. Step 5: Solve for x
    x = 258,186,557.90/13,407.10
  6. Step 6: Final answer
    x = 19,257.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.